The Lyapunov exponent in the Sinai billiard in the small scatterer limit
نویسنده
چکیده
We show that Lyapunov exponent for the Sinai billiard is λ = −2 log(R)+ C + O(R log R) with C = 1 − 4 log 2 + 27/(2π) · ζ(3) where R is the radius of the circular scatterer. We consider the disk-to-disk-map of the standard configuration where the disks is centered inside a unit square.
منابع مشابه
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تاریخ انتشار 1996